On finitely pseudo-Frobenius rings
type: Item
instance of: scholarly article
title: On finitely pseudo-Frobenius rings
zbMATH Open document ID: 0777.16011
author: Hiroshi Yoshimura
published in: Osaka Journal of Mathematics
publication date: 1992-09-27T00:00:00Z
review text: An associative ring \(R\) with identity is called right FPF (resp. right GFC), if every finitely generated (resp. cyclic) faithful right \(R\)- module is a generator of the category mod-\(R\). The author gives a characterization of right FPF rings which generalizes a result of \textit{S. Kobayashi} [Osaka J. Math. 22, 787-795 (1985; Zbl 0582.16007)]. Moreover it is shown that every right GFC ring \(R\) is essentially bounded.
Mathematics Subject Classification ID: 16L60
Mathematics Subject Classification ID: 16D50
zbMATH DE Number: 59002
zbMATH Keywords: pseudo-Frobenius rings
zbMATH Keywords: faithful right \(R\)-module
zbMATH Keywords: generator
zbMATH Keywords: right FPF rings
zbMATH Keywords: right GFC ring
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 59002